Linear Block Codes
... the vector space V(n, q) for some positive value of n. C is a subspace of V(n, q) iff (1) u v C for all u and v in C (2) a.u C for all u C, a GF (q) A binary code is linear iff the sum of any two codewords is a codeword. If C is a k - dimentiona l subspace of V (n, k) the the linear code i ...
... the vector space V(n, q) for some positive value of n. C is a subspace of V(n, q) iff (1) u v C for all u and v in C (2) a.u C for all u C, a GF (q) A binary code is linear iff the sum of any two codewords is a codeword. If C is a k - dimentiona l subspace of V (n, k) the the linear code i ...
7_6 Exponential Functions
... decade. Write a function and provide the worth of the investment after 30 years. ...
... decade. Write a function and provide the worth of the investment after 30 years. ...
Formulas
... A linear combination (or superposition) of u1, …, un is a sum of scalar multiples of the vectors, i.e. a vector v of the form v = c1u1 + + cnun. Another way of writing this is v = Tc where T is the matrix whose columns are the uj and c is the column vector whose entries are the cj. To write v as a ...
... A linear combination (or superposition) of u1, …, un is a sum of scalar multiples of the vectors, i.e. a vector v of the form v = c1u1 + + cnun. Another way of writing this is v = Tc where T is the matrix whose columns are the uj and c is the column vector whose entries are the cj. To write v as a ...
Chapter 10 Review
... We require that determinant be non-zero. An equivalent condition is that all the equations in the set of linear equations be independent, i.e., you can not derive one or more of the equations from linear combinations of the others. This is equivalent to saying that the rank (A) = n, the order of A, ...
... We require that determinant be non-zero. An equivalent condition is that all the equations in the set of linear equations be independent, i.e., you can not derive one or more of the equations from linear combinations of the others. This is equivalent to saying that the rank (A) = n, the order of A, ...
Algorithm Design and Analysis
... A recurrence relation is called linear homogeneous with constant coefficients if it is of the form f (n) a1 f (n 1) a2 f (n 2) ... ak f (n k ). • In this case, f(n) is said to be of degree k. When an additional term involving a constant or a function of n appears in the recurrence, the ...
... A recurrence relation is called linear homogeneous with constant coefficients if it is of the form f (n) a1 f (n 1) a2 f (n 2) ... ak f (n k ). • In this case, f(n) is said to be of degree k. When an additional term involving a constant or a function of n appears in the recurrence, the ...
0.1 Linear Transformations
... TB ◦ TA = TBA Remark: This equation points out an important interpretation of the matrix product. Composition of two linear transformations is equivalent to the multiplication of two matrices. Example 10 In general: Composition is not commutative. T1 :reflection about y = x, and T2 orthogonal projec ...
... TB ◦ TA = TBA Remark: This equation points out an important interpretation of the matrix product. Composition of two linear transformations is equivalent to the multiplication of two matrices. Example 10 In general: Composition is not commutative. T1 :reflection about y = x, and T2 orthogonal projec ...
